A 5-foot ladder is set up 3 feet from the base of a building. How far up the building does the ladder reach?

Peoples Bank offers 8% compounded continuously on CDs What amount invested now grow to 100,000 in 25 years Hint the continuous c

sleet_krkn [62]

Given:

Rate of interest = 8% compounded continuously.

Amount = 100,000

Time = 25 years

To find:

The principal value.

Solution:

Formula for amount after continuous compound interest:

$A=Pe^{rt}$

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting $A=100000, r=0.08, t=25$ in the above formula, we get

$100000=Pe^{0.08(25)}$

$100000=Pe^{2}$

$\dfrac{100000}{e^{2}}=P$

$\dfrac{100000}{7.389056}=P$

On further simplification, we get

$P\approx 13533.528$

Therefore, the amount 13533.528 is invested.

3 0

3 years ago

8x-3y=5 I need this awnser

frutty [35]

Go too math websites!

8 0

3 years ago

Read 2 more answers

White alphabet used to denote matrix and its element with example

Oksanka [162]

Answer:

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Step-by-step explanation:

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3 0

3 years ago

Anwser both of them please

eimsori [14]

The rectangle on the right is 81 and the rectangle on the left is 24. I don't really know about the second one sorry, but I hope this helped.

4 0

4 years ago

The radius of a circle is 1 centimeter. What is the circle's circumference?

igomit [66]

Answer:

6.28 cm

Step-by-step explanation:

The formula for the circumference of a circle with radius r is C = 2*pi*r.

If we let pi = 3.14 and r = 1 cm, then the circumference of this circle is

C = 2(3.14)(1 cm) = 6.28 cm

6 0

3 years ago